Jammu and Kashmir Board Solutions for Chapter: Perimeter and Area, Exercise 5: Exercise 11.2

If  the area of the following parallelogram is $k {\mathrm{cm}}^2$, find the value of $k.$

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If the area of the parallelogram is $k {\mathrm{cm}}^2$ then, find the value of $k$ .

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If the area of the following triangle is $k {\mathrm{cm}}^2$, find the value of $k.$

If the height of the parallelogram whose base is $20 \mathrm{cm}$ and area is $246 {\mathrm{cm}}^2$ is $k {\mathrm{cm}}^2$, find the value of $k.$

If the height of the triangle whose base$=15 \mathrm{cm}$ and area$=87 {\mathrm{cm}}^2$ is $\mathrm{k} \mathrm{cm}$, then find $\mathrm{k}$.

$\mathrm{P}\mathrm{Q}\mathrm{R}\mathrm{S}$ is a parallelogram. $\mathrm{Q}\mathrm{M}$ is the height from $\mathrm{Q}$ to $\mathrm{S}\mathrm{R}$ and $\mathrm{Q}\mathrm{N}$ is the height from $\mathrm{Q}$ to $\mathrm{P}\mathrm{S}.$ If $\mathrm{S}\mathrm{R}=12 \mathrm{c}\mathrm{m}$ and $\mathrm{Q}\mathrm{M}=7.6 \mathrm{c}\mathrm{m}.$ If the area of the parallelogram $\mathrm{P}\mathrm{Q}\mathrm{R}\mathrm{S}$ is $k {\mathrm{cm}}^2$, find the value of $k.$

$\mathrm{P}\mathrm{Q}\mathrm{R}\mathrm{S}$ is a parallelogram (see the given figure). $\mathrm{Q}\mathrm{M}$ is the height from $\mathrm{Q}$ to $\mathrm{S}\mathrm{R}$ and $\mathrm{Q}\mathrm{N}$ is the height from $\mathrm{Q}$ to $\mathrm{P}\mathrm{S}.$ If $\mathrm{S}\mathrm{R}=12 \mathrm{c}\mathrm{m}$ and $\mathrm{Q}\mathrm{M}=7.6 \mathrm{c}\mathrm{m}.$ If $\mathrm{Q}\mathrm{N}=k \mathrm{cm}$ and $\mathrm{P}\mathrm{S}=8 \mathrm{c}\mathrm{m}$, then find the value of $k.$

$\mathrm{\Delta }\mathrm{A}\mathrm{B}\mathrm{C}$ is isosceles with $\mathrm{A}\mathrm{B}=\mathrm{A}\mathrm{C}=7.5 \mathrm{c}\mathrm{m}$ and $\mathrm{B}\mathrm{C}=9 \mathrm{c}\mathrm{m}$ (see the given figure). The height $\mathrm{A}\mathrm{D}$ from $\mathrm{A}$ to $\mathrm{B}\mathrm{C},$ is $6 \mathrm{c}\mathrm{m}.$ If the height from $\mathrm{C}$ to $\mathrm{A}\mathrm{B}$ i.e., $\mathrm{C}\mathrm{E}$ is $\mathrm{k} \mathrm{cm}$, find the value of $\mathrm{k}$ in decimal form.